Generalized Projectively Symmetric Spaces

Abstract EN

We study generalized projectively symmetric spaces.

We first study some geometric properties of projectively symmetric spaces and prove that any such space is projectively homogeneous and under certain conditions the projective curvature tensor vanishes.

Then we prove that given any regular projective s-space (M, ∇), there exists a projectively related connection ∇¯, such that (M, ∇¯) is an affine s-manifold.